MA722: Computer Algebra II, Spring 2012

Tentative Schedule

 

Date Class Schedule Reading*
January 10, 12, 17
  • Recall: Algebra-Geometry Dictionary
  • Recall: Groebner basis
  • Solving polynomial systems using multiplication matrices

Lecture Notes 1
Example

January 19, 24, 26, 31,
  • Representation of positive dimensional varieties
  • Triangular representation
  • Pseudo-division
  • Wu's method

Lecture Notes 2
Example
Example

February 2, 7, 9, 14, 16
  • Geometric representation
  • Shape Lemma
  • Noether Normalization Lemma
  • Primitive Elements
Lecture Notes 3
February 21, 23, 28, March 1
  • Multipolynomial projective resultants
  • Properties of projective resultants
  • Computation of projective resultants
Lecture Notes 4
     
     
     
     

 

Instructor:
Dr. Agnes Szanto
Harrelson Hall 347
Tel: 515-7547
E-mail: aszanto

Meet:
M-W-F 1:30-2:20pm
Harrelson Hall 330

Office Hours:
M-W 10:00-11:00am
or by appointment